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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Abhijeet Gaurav
limx→0 sinx/x=? As in simple , use l'Hôpital's rule - that: If limx→0f(x) takes up indeterminate form, limx→0 f(x) = limx→0 f′(x) Where f′(x) is the derivative of f(x). Using this rule, because sinx/x at x=0 takes the form 0/0 (an indeterminate form), differentiating it with respect to x gives cosx/1 Substituting x=0 gives result 1.